Decimals and fractions worksheet for practicing hundredths with grid shading.

Let's solve each part of the worksheet step by step.

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Part 1: Write the decimal for each shaded part

Each grid represents 1 whole, divided into 100 equal parts (hundredths). So, each small square is worth 0.01.

We count how many squares are shaded and write that as a decimal.

1. Grid A:
- 4 full columns (each column = 10 squares) → 4 × 10 = 40 squares
- Plus 5 more squares → total = 45
- Decimal: 0.45

2. Grid B:
- 1 full column = 10 squares
- Plus 7 more squares → total = 17
- Decimal: 0.17

3. Grid C:
- 9 full columns = 90 squares
- Plus 0 more → total = 90
- Decimal: 0.90

4. Grid D:
- 5 full columns = 50 squares
- Plus 1 more → total = 51
- Decimal: 0.51

✔ Answers:
1. 0.45
2. 0.17
3. 0.90
4. 0.51

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Part 2: Shade the grids for each number

We shade the appropriate number of squares in a 10×10 grid (100 squares).

1. 0.36 → 36 squares shaded
- Shade 3 full columns (30 squares), then 6 more squares.

2. 0.17 → 17 squares shaded
- Shade 1 full column (10), then 7 more.

3. 0.90 → 90 squares shaded
- Shade 9 full columns.

4. 0.51 → 51 squares shaded
- Shade 5 full columns (50), then 1 more.

> *(You would shade these on the grid — no need to draw here, but you know how!)*

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Part 3: Write each decimal as a fraction

We write decimals as fractions with denominator 100, then simplify if possible.

1. 0.45 = 45/100 → Simplify: divide numerator and denominator by 5 → 9/20

2. 0.63 = 63/100 → Can't be simplified → 63/100

3. 0.10 = 10/100 → Simplify: divide by 10 → 1/10

4. 0.04 = 4/100 → Simplify: divide by 4 → 1/25

5. 0.30 = 30/100 → Simplify: divide by 10 → 3/10

6. 0.79 = 79/100 → Can't be simplified → 79/100

✔ Answers:
1. 9/20
2. 63/100
3. 1/10
4. 1/25
5. 3/10
6. 79/100

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Part 4: Write each fraction as a decimal

Convert fractions with denominator 100 to decimals by placing the numerator in the hundredths place.

1. 81/100 = 0.81

2. 12/100 = 0.12

3. 66/100 = 0.66

4. __ /100 = 0.37 → We need the numerator: 37 → 37/100

5. 9/100 = 0.09

6. 16/100 = 0.16

✔ Answers:
1. 0.81
2. 0.12
3. 0.66
4. 37/100
5. 0.09
6. 0.16

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✔ Final Answer Summary:

#### Part 1:
1. 0.45
2. 0.17
3. 0.90
4. 0.51

#### Part 2:
Shade:
- 0.36 → 36 squares
- 0.17 → 17 squares
- 0.90 → 90 squares
- 0.51 → 51 squares

#### Part 3:
1. 9/20
2. 63/100
3. 1/10
4. 1/25
5. 3/10
6. 79/100

#### Part 4:
1. 0.81
2. 0.12
3. 0.66
4. 37/100
5. 0.09
6. 0.16

Let me know if you'd like this formatted as a printable answer sheet!